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                三维积木                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：512MB</p>			</div>
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                                <h3>题目描述</h3><p><div>小C小时候喜欢玩积木。由于小C并不喜欢一般的题目中那些称之为积木的二维物体，他玩的积木都是三维的。</div>
<div>小C的积木都是一些个1*1*1的小方块，每个方块都有一种颜色，红色，绿色或蓝色。小C玩积木的场所是一个N*N的网格，玩积木时，他会将积木整齐地摞在网格上。</div>
<div>为了优美，小C每次摞出来的积木堆从正前方看过去时都只能看到一个颜色的积木。</div>
<div>&nbsp;<img src="../file/4313_0.jpg" width="336" height="200" alt="" /></div>
<div>如图，左图是优美的，右图不优美。</div>
<div>现在小C大了，对玩积木没有了什么兴趣，他感兴趣的是他到底能玩出多少种不同优美的的积木组合。需要注意的是，颜色相同的积木被视为是完全相同的。输出方案数mod (10 ^ 9 + 7)。</div>
<p></p></p><hr/><h3>输入格式</h3><p><div>仅一行，四个非负整数，R,G,B,N，分别表示红色积木数，绿色积木数，蓝色积木数和场地大小。</div>
<p></p></p><hr/><h3>输出格式</h3><p><div>仅一个数，即答案。</div>
<p></p></p><hr/><h3>样例输入</h3><pre>1 0 1 2</pre><hr/><h3>样例输出</h3><pre>4</pre><hr/><h3>提示</h3><p><div><img src="../file/4313_0.jpg" width="322" height="118" alt="" /></div>
<div>100% ： R,G,B,N &lt;= 25</div>
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<p></p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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